# Motion of Pendulum Interrupted by a Peg

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This Demonstration shows the movement of a simple pendulum whose swing is interrupted by a peg.

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Contributed by: Erik Mahieu (December 2011)

Open content licensed under CC BY-NC-SA

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## Details

Each complete period is a sequence of four quarter-periods: two for a pendulum of length 1 and initial angle when the bob is to the right of the vertical and two for a pendulum of length and initial angle when the bob is to the left. The quarter-periods are determined by solving the appropriate ODE and escaping the solution using *Mathematica*'s built-in "EventLocator" method.

An interesting article on the subject is C. E. Mungan. "Maximum Bob Height of an Interrupted Pendulum." *United States Naval Academy Physics Department*. (2006) usna.edu/Users/physics/mungan/_files/documents/Scholarship/InterruptedPendulum.pdf.

See also the Demonstration by Enrique Zeleney, "Interrupted Pendulum".

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